24 students in a class took an alegebra test. If 18 passed, what precentage passed.

Answer:

The solution of the system of equation in coordinate form is (2, 0)

Step-by-step explanation:

The given equation are;

2·x - y = 4....................(1)

5·x + 2·y = 10..............(2)

Multiplying equation (1) by 2 and subtract it from equation (2) gives;

5·x + 2·y - 2 × (2·x - y) = 10 - 2×4

5·x - 4·x + 2·y - 2·y = 2

x = 2

From equation (1), we have 2·x - y = 4, when x = 2, we get;

2×2 - y = 4

y = 2×2 -4 = 0

y = 0

Therefore;

The solution of the system of equation in coordinate form is (2, 0).

Answer/Step-by-step explanation:

Relationship of angle pairs considering the given diagram are as follows:

1. <d and <e are alternate interior angles. They are opposite inner sides of the transversal.

2. <e and <h are vertically opposite angles. They share the same vertex (corner) formed by the two line that crossed.

3. <a and <e are corresponding angles. They occupy the same position as a line crosses the other two lines together.

4. <c and <d are a linear pair. They are angles on a straight line and are supplementary.

The relationships between the angle pairs are:

1. Angle d and angle e are alternate interior angles.

2. Angle e and angle h are vertically opposite angles.

3. Angle a and angle e are corresponding angles.

4. Angle c and angle d form a linear pair.

The relationships between the angle pairs in the given diagram can be described as follows:

1. Angle d and angle e are alternate interior angles.

They are located on opposite sides of the transversal and inside the pair of lines.

2. Angle e and angle h are vertically opposite angles.

They are formed at the same vertex (corner) where the two intersecting lines meet.

3. Angle a and angle e are corresponding angles.

They are positioned in the same relative location as a line intersects the other two lines simultaneously.

4. Angle c and angle d form a linear pair.

They are adjacent angles on a straight line and add up to 180 degrees, making them supplementary.

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Answer:

26

Step-by-step explanation:

First, using PEMDAS, do Multiplication, and division. (30 - 4)

Next, suptract to get your answer.

Answer:

26

Step-by-step explanation:

No P(emdas)

No e(Pemdas)

Multiplication (5 x 6)

5x6=30

Division (12/3)

12/3=4

No addition

Subtraction (30)-(4)

30-4=26

Answer:

7 times 5 is 35 so I think that's the answer

Answer:

Step-by-step explanation: 35- Because 7÷35

Answer:

-14w + 4

Step-by-step explanation:

-7w - 5 - 7w + 9

-7w - 7w + 4

-14w + 4

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{25 {x}^{4} - 4}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(5 {x}^{2} - 2)(5 {x}^{2} + 2)}[/tex]

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

[tex] \dashrightarrow{ \sf{5 {x}^{2} (5 {x}^{2} + 2) - 2(5 {x}^{2} + 2)}}[/tex]

[tex] \dashrightarrow{ \sf{25 {x}^{4} + 10 {x}^{2} - 10 {x}^{2} - 4}}[/tex]

Since two opposites add up to zero , remove them from the expression

[tex] \dashrightarrow{ \sf{25 {x}^{4} - 4}}[/tex]

Hope I helped!

Best regards! :D

Answer:

Step-by-step explanation:

Multiplication

Ratio of Tables to garbage = 8:3

Small camp ground:

40 picnic tables and let x be the number of garbage cans

[tex]\frac{8}{3}=\frac{40}{x}\\\\\frac{8*5}{3*5}=\frac{40}{x}\\\\\frac{40}{15}=\frac{40}{x}\\\\[/tex]

x = 15

Small campground with 40 picnic table needs 15 garbage cans

Large picnic ground:

120 picnic tables and let y be the number of garbage cans

[tex]\frac{8}{3}=\frac{120}{y}\\\\\frac{8*15}{3*15}=\frac{120}{y}\\\\\frac{120}{45}=\frac{120}{y}[/tex]

y= 45

Big campground with 120 picnic table needs 45 garbage cans

Sorry didn't know how to write the answer so I just took a screen shot of my answer for you!

Answer:

14

Step-by-step explanation:

To evaluate, substitute x = 5 into the expression, that is

5² - 3(5) + 4 = 25 - 15 + 4 = 14

Answer:

4 gallons of 15% ethanol

5 gallons of 78% ethanol

Step-by-step explanation:

Given that:

Two types of gases:

1st gas with 15% ethanol

2nd gas with 78% ethanol

The gases are to be mixed in such a way that the mixture of gases comes out to be with 50% ethanol with volume of 9 gallons.

Let amount of gas with 15% ethanol used = [tex]x[/tex] gallons

Now, we are given that total volume is 9 gallons, then

amount of gas with 78% ethanol used = 9 - [tex]x[/tex] gallons

As per the question statement:

[tex]x\times 15\% + (9-x)\times 78\%=9\times 50\%\\\Rightarrow x\times 15 + (9-x)\times 78=9\times 50\\\Rightarrow 9\times 78-9\times 50=63x\\\Rightarrow 9\times 28=63x\\\Rightarrow \bold{x = 4\ gallons}[/tex]

Therefore, the answers are:

4 gallons of 15% ethanol

9 - 4 = 5 gallons of 78% ethanol

The number of gallons required of both kind would be as follows:

4 gallons having 15% ethanol

5 gallons having 78% ethanol

Given that,

The 2 kinds of gases are:

One with 15% ethanol

Other with 78% ethanol

Given that,

The gases(ethanol and gasoline) are diluted in a such a manner that it involves a total of only 50% ethanol.

Number of gallons she wants to use = 9

This shows that only 50% of 9 gallons i.e. 4.5 gallons of ethanol can be used.

Assuming x being the gasoline's measure that is diluted with 15% ethanol.

Now,

The gasoline's measure that is diluted with 78% ethanol would be = 9 - x gallons

Therefore,

x × 15% + (9-x) × 78% = 4.5

On solving, we get

x = 4 gallons

Thus,

The measure of gallons having 15% ethanol = 4

The measure of gallons having 78% ethanol = (9 - x)

= (9 - 4)

= 5 gallons

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Answer:

36

Step-by-step explanation:

F1 = 1

F2 = 1 + 2

F3 = 1 + 2 + 3

--> The n(th) figure has the number of oranges = the sum of the first n natural numbers, which has the general form:

F(n) = 1 + 2 + 3 + ... + n = n(n+1) / 2

So, 8th figure has:

F(8) = 8.(8+1) / 2 = 8 . 9 / 2 = 36

Answer:

Graph the line  

y = 2 x − 4

After you have plotted the line, shade in the area to right of the line.

To help you to graph the line, two points are  

( 0 , − 4 )  and  ( 2, 0 )

Remember to make it a dashed line to indicate that it is not included.

Here is a how it should look:

Answer:

Here the mistake is that she drew a circle from the point A to intersect the line rather the drawing arcs from the point C

The next another circle was drawn from the point of the intersection of the first circle and the intersection of both circles was used to draw the perpendicular at the midpoint of the intersection of both circles.

Step-by-step explanation:

To construct a line perpendicular to another line through a point the following steps are required

1) From the point, with the compass, C draw  to intersect the line at points A and B

2) From A and B with the compass made wider, draw arcs above and below the line to intersect each other

3) With the straight edge Draw a line passing through the intersections of the arcs drawn from A and B and extend the line to pass through the point C

The line constructed above is the perpendicular to the line l passing through the point C.

Answer:

so the problem is saying 42x-10.36 so it's just saying take 10.36 away from 42 multiplied by X

Step-by-step explanation:

Answer:

n = -3

Step-by-step explanation:

Original Equation:

11 (n-1) + 35 = 3n

Distributive Property:

11n + 24 = 3n

Subtract 24 from both sides:

11n + 24 - 24 = 3n - 24

Simplify:

11n = 3n - 24

Subtract 3n from both sides:

11n - 3n = 3n - 24 - 3n

Simplify:

8n = -24

Divide both sides by 8:

[tex] \frac{8n}{8} = \frac{ - 24}{8} [/tex]

Simplify:

n = -3

Answer:

n=-3

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

Given

9(x+1)=25+x

Distributive property

9x+9=25+x

Subtract x on both sides

9x+9-x=25+x-x

8x+9=25

Subtract 9 on both sides

8x+9-9=25-9

8x=16

Divide 8 on both sides

8/8 x=16/8

x=2

Hope this helps!! :)

Please let me know if you have any question

Answer:

x = 2

Step-by-step explanation:

big brain/took test

Answer:−21x−8

Step-by-step explanation: All sides have the same measure in a square, therefore all sides are 3x-8. Area is equal to 3x-8 times 3x-8 which is −21x−8

If the side of the square is (3x - 8), the area of the square is 9x² -48x + 64

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

Square:

Side = (3x - 8)

The area of a square.

= Side²

= (3x - 8)²

Factorize using [(a + b)² = a² + 2ab + b²].

Now,

(3x - 8)²

= 9x² + 8² - 48x

= 9x² -48x + 64

Thus,

The area of the square is 9x² -48x + 64.

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Answer: First we will substitute the numbers in place of the variables in the equation, and then we will use order of operations to solve.

7x + 6y would be equal to:

7(2) + 6(10)

Now we will perform the multiplication:

7 * 2 = 14

6 * 10 = 60

The equation now looks like:

14 + 60

This is equal to 74. Your answer is therefore 74.

Hi there! Hopefully this helps!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

First we need to evaluate the variables into the expression.

7x + 6y = 7(2) + 6(10).

6 x 10 = 60

7 x 2 = 14.

60 + 14 = 74

Answer:

Yes, it is.

Step-by-step explanation:

A function is a relation between two sets of elements, where each valid input can be mapped to exactly one output.

Indeed, the relation in this question is between two sets of elements. Each of these pairs includes exactly two elements: the input and the output.

On the other hand, does this relation maps each valid input to exactly one output? Arrange these pairs by the input in increasing order:

Indeed, the input [tex]-3[/tex] appeared twice in the list. However, in both occurrence, this input mapped to the same output, [tex]6[/tex]. This relation is still a function.

Answer:

  (-∞, -5/2) ∪ (1, ∞)

Step-by-step explanation:

"Increasing" means the graph goes up to the right. It is increasing from the left up to the local maximum--the peak at left.

It is increasing again from the local minimum on the right to the right side of the graph.

The two sections where the graph is increasing are ...

  (-∞, -5/2) ∪ (1, ∞)

__

The graph is decreasing between the maximum on the left and the minimum on the right.

Mean: $1.615

Median: $1.49

Mode: $1.49

Answer:

8- b=79

9- b=23

10- b=67

8.)

[tex]37 = n - 42[/tex]

Add 42 to both sides of the equal sign to isolate the variable (n).

[tex]79 = n[/tex]

9.)

[tex]b + 62 = 85[/tex]

Subtract 62 from both sides of the equal sign to isolate the variable (b).

[tex]b = 23[/tex]

10.)

[tex]92 = 25 + l[/tex]

Subtract 25 from both sides of the equal sign to isolate the variable (l).

[tex]67 = l[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{84.5}}}}}[/tex]

Step-by-step explanation:

Given data :

89 , 74 , 100 , 86 , 74 , 67 , 86 , 72 , 60 , 93 , 83 , 86

Arranging the data in ascending order, we have,

60 , 67 , 72 , 74 , 74 ,83 , 86 , 86 , 86 , 89 , 93 , 100

Here, n ( total no.of observation ) = 12

Now, finding the position of media :

[tex] \boxed{ \sf{position \: of \: median = ( \frac{n + 1}{2} ) ^{th} \: item}}[/tex]

⇒[tex] \sf{ (\frac{12 + 1}{2} ) ^{th} item}[/tex]

⇒[tex] \sf{( \frac{13}{2} ) ^{th} item}[/tex]

⇒[tex] \sf{ {6.5}^{th} item}[/tex]

6.5 th item is the average of 6 th and 7 th items.

Again,

[tex] \sf{median = \frac{ {6}^{th \: item} + {7}^{th} item}{2} }[/tex]

⇒[tex] \sf{ \frac{83 + 86}{2} }[/tex]

⇒[tex] \sf{ \frac{169}{2} }[/tex]

⇒[tex] \sf{84.5}[/tex]

Hope I helped!

Best regards!!

Answer:

Options (3) and (6)

Step-by-step explanation:

"A straight line is a set of all points between two points and extending beyond these points."

Therefore, from the given diagram,

Arrows connecting set of two points B and C and D and E will be straight lines.

Geometrically we denote them with an arrow over the line.

[tex]\overleftrightarrow {BC}[/tex] and [tex]\overleftrightarrow {DE}[/tex]

Therefore, Options (3) and (6) will be the answer.

Answer:

60°, 100° and 120°

Step-by-step explanation:

The angles x, y and z all lie on straight lines adjacent to other angles, thus

x = 180° - 120° = 60°

y = 180° - 80° = 100°

z = 180° - 60° = 120°

Answer:

40ft

Step-by-step explanation:

√100=10

10*4=40ft

Answer:

The correct answer is 40 feet.

Step-by-step explanation:

We know that the area of the square is 100 square feet.  We also know that we can find the area of the square using the formula A = s^2, where s represents the side length of the square.

A = s^2

If we plug in the value for the area that we are given, we get:

100 = s^2

To find the side length, we take the square root of both sides.

10 = s

To find the perimeter of a square, we should add up four times the side length (since there are 4 equal sides to a square).

Thus, the perimeter of a square is given by:

P = 4s = 4(10) = 40 feet

Therefore, the correct answer is 40 feet.

Hope this helps!

Answer:

Below.

Step-by-step explanation:

2x  + 2 - 2 = 10 - 2    Subtraction property of equality.